Existence of Strictly Decreasing Positive Solutions of Linear Differential Equations of Neutral Type
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F20%3APU137671" target="_blank" >RIV/00216305:26620/20:PU137671 - isvavai.cz</a>
Result on the web
<a href="http://www.aimsciences.org/article/doi/10.3934/dcdss.2020004" target="_blank" >http://www.aimsciences.org/article/doi/10.3934/dcdss.2020004</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdss.2020004" target="_blank" >10.3934/dcdss.2020004</a>
Alternative languages
Result language
angličtina
Original language name
Existence of Strictly Decreasing Positive Solutions of Linear Differential Equations of Neutral Type
Original language description
The paper is concerned with a linear neutral differential equation dot y(t) = −c(t)y(t − τ(t)) + d(t) dot y(t − δ(t)) where c: [t_0, ∞) → (0, ∞), d: [t_0, ∞) → [0, ∞), t_0 ∈ R and τ, δ : [t_0, ∞) → (0, r], r ∈ R , r > 0 are continuous functions. A new criterion is given for the existence of positive strictly decreasing solutions. The proof is based on the Rybakowski variant of a topological Wazewski principle suitable for differential equations of the delayed type. Unlike in the previous investigations known this time the progress is achieved by using a special system of initial functions satisfying a so-called sewing condition. The result obtained is extended to more general equations. Comparisons with known results are given as well.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Discrete and Continuous Dynamical Systems - Series S
ISSN
1937-1632
e-ISSN
1937-1179
Volume of the periodical
13
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
67-84
UT code for WoS article
000496422500005
EID of the result in the Scopus database
2-s2.0-85085744824